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A153664 Numbers k such that the fractional part of (3/2)^k is greater than 1-(1/k). 21
1, 14, 163, 1256, 2677, 8093, 49304, 49305, 158643, 164000, 835999, 2242294, 2242295, 2242296, 3965133, 25380333, 92600006, 92600007, 92600008, 92600009, 92600010, 92600011, 99267816, 125040717, 125040718 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers k such that fract((3/2)^k) > 1-(1/k), where fract(x) = x-floor(x).

The next term is greater than 3*10^8.

LINKS

Table of n, a(n) for n=1..25.

EXAMPLE

a(2) = 14 since fract((3/2)^14) = 0.92926... > 0.92857... = 1 - (1/14), but fract((3/2)^k) <= 1 - (1/k) for 1<k<14.

MATHEMATICA

Select[Range[1000], FractionalPart[(3/2)^#] >= 1 - (1/#) &] (* G. C. Greubel, Aug 24 2016 *)

CROSSREFS

Cf. A002379, A081464, A153662, A153663, A153665, A153666, A153667, A153668.

Sequence in context: A016206 A161158 A238116 * A016146 A269539 A228422

Adjacent sequences:  A153661 A153662 A153663 * A153665 A153666 A153667

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer, Dec 31 2008

EXTENSIONS

a(11)-a(25) from Robert Gerbicz, Nov 21 2010

STATUS

approved

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Last modified August 17 11:01 EDT 2019. Contains 326057 sequences. (Running on oeis4.)